Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 928/80, 804/86, 518/340 quickly i.e. 24155376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 928/80, 804/86, 518/340 is 24155376.
LCM(928/80, 804/86, 518/340) = 24155376
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 928/80,804/86,518/340
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 928,804,518
Least Common Multiple of Numerators i.e. LCM of 928,804,518 is 48310752.
GCF of Denominators means GCF of 80,86,340 as per the given fractions.
GCF of 80,86,340 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 928,804,518
2 | 928, 804, 518 |
2 | 464, 402, 259 |
232, 201, 259 |
∴ So the LCM of the given numbers is 2 x 2 x 232 x 201 x 259 = 48310752
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 928,804,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(928,804,518) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(928,804,518) x common factors =2 x 4 = 8
LCM(928,804,518) = ( 928 × 804 × 518 ) / 8
LCM(928,804,518) = 386486016 / 8
LCM(928,804,518) = 48310752
Lets's calculate GCF of 80,86,340
2 | 80, 86, 340 |
40, 43, 170 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48310752/2
Therefore the LCM of Fractions 928/80,804/86,518/340 is 24155376
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Greatest Common Factor
We found the factors 80,86,340 . The biggest common factor number is the GCF number.
So the greatest common factor 80,86,340 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 928/80, 804/86, 518/340?
Answer: LCM of Numerators as per given numbers 928/80, 804/86, 518/340 is
LCM of Numerators i.e. for 928,804,518 is 48310752
GCF of denominators i.e. for 80,86,340 is 2.
Thus, LCM of Fractions is 24155376.Finally, LCM of Fractions for 928/80, 804/86, 518/340 is 24155376.